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Gullberg J. — Mathematics: from the birth of numbers
Gullberg J. — Mathematics: from the birth of numbers



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Название: Mathematics: from the birth of numbers

Автор: Gullberg J.

Аннотация:

A gently guided, profusely illustrated Grand Tour of the world of mathematics. This extraordinary work takes the reader on a long and fascinating journey — from the dual invention of numbers and language, through the major realms of arithmetic, algebra, geometry, trigonometry, and calculus, to the final destination of differential equations, with excursions into mathematical logic, set theory, topology, fractals, probability, and assorted other mathematical byways. The book is unique among popular books on mathematics in combining an engaging, easy-to-read history of the subject with a comprehensive mathematical survey text. Intended, in the author's words, "for the benefit of those who never studied the subject, those who think they have forgotten what they once learned, or those with a sincere desire for more knowledge," it links mathematics to the humanities, linguistics, the natural sciences, and technology. Contains more than 1000 original technical illustrations, a multitude of reproductions from mathematical classics and other relevant works, and a generous sprinkling of humorous asides, ranging from limericks and tall stories to cartoons and decorative drawings. Over 1000 technical illustrations and cartoons and drawings


Язык: en

Рубрика: Математика/

Статус предметного указателя: Готов указатель с номерами страниц

ed2k: ed2k stats

Год издания: 1997

Количество страниц: 1110

Добавлена в каталог: 22.11.2014

Операции: Положить на полку | Скопировать ссылку для форума | Скопировать ID
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Предметный указатель
Principle, duality, Boolean algebra      253
Principle, duality, projective geometry      434
Principle, Heisenberg’s uncertainty      906
Principle, multiplication      186
Principle, two-value      220
Principle, uncertainty, Heisenberg’s      906
PRISCUS, T.      18
Prism/prisms      400
Prism/prisms, formulas      451
Prism/prisms, height      400
Prism/prisms, truncated      400
Prism/prisms, volume      446
probability      961
Probability, conditional      966
Probability, density function      971
Probability, history      963 979
Probability, mathematical      966
Problem, brachistochrone      590
Problem, Delian      421
Problem, four-color map (theorem)      203
Proclus      366
Product/products      118
Product/products, approximate values      163
Product/products, boundary values      166
Product/products, complex numbers      130 790
Product/products, conversion from sums of functions, derivative      690
Product/products, determinants      650
Product/products, Euler      778
Product/products, indeterminate      785
Product/products, scalar      614
Product/products, sets      241
Product/products, symbol      105
Product/products, tree      186
Product/products, trigonometric, breaking up      514
Product/products, triple, scalar      622
Product/products, triple, vector      623
Product/products, vector      617
Projectile, path      589 901
Projection      373
Projection matrix      658
Projection, Mercator      396
Projective geometry      377
Projective geometry, Mercator projection      396
Prolate ellipsoid      405
Proof by deduction      158
Proof by induction      158
Proof by reductio ad absurdum      159
Proof/proofs, computer generated      160 204 333
Proof/proofs, direct, symbolic logic      227
Proof/proofs, indirect      159
Proof/proofs, indirect, symbolic logic      227
Proof/proofs, mathematical      157
Proper fractions      74
Proper subset      237
Properties, commutative, vectors      615 619
Properties, distributive, vectors      615
Proportion, symbols      110
Proportional, mean      111
Proportionality, constant      349
Proportionality, direct      349
Proportionality, inverse      350
Proportionals      111
Propositions      220
Protolanguage      8 25
Pseudo-primes      80
PTOLEMY (PTOLEMAEUS), history of geometry      366 367
PTOLEMY (PTOLEMAEUS), history of trigonometry      463
PTOLEMY (PTOLEMAEUS), law of sines      480
PTOLEMY (PTOLEMAEUS), motion      894
PTOLEMY (PTOLEMAEUS), theorem of      402
Ptolemy’s theorem      438
Punctum temporis      18
Pure, imaginary numbers      71
Pure, surds      139
Puzzle, fifteen      193
Pyramidal numbers, square      293
Pyramids      400
Pyramids, formulas      451
Pyramids, volume      447
PYTHAGORAS, equations      297
PYTHAGORAS, history of calculus      674
PYTHAGORAS, music      922
Pythagoras, Pythagorean Theorem      435
PYTHAGORAS, reductio ad absurdum      159
Pythagoras’s lute      420
Pythagorean brotherhood      397
Pythagorean doctrine of opposites      291
Pythagorean identities      508
Pythagorean number theorem      332
Pythagorean numbers      332
Pythagorean Theorem      435
Pythagorean triples      332
qed      159
Quadrangle      394
Quadrans      16
Quadrant, astronomical instrument      463
Quadratic equations      309
Quadratic formula      311
Quadratic functions      351
Quadrature formulas      947
Quadrilateral      392 394
Quadrilateral, about a circle      438
Quadrilateral, area      445
Quadrilateral, in a circle      430
Quadrivium      870
Quadrual      4
Quantifier, existential      221
Quantifier, universal      220
Quantity, vector      602
Quart      409
Quartic equations      320
Quaternary      46
Quaternion      601
Quetelet, A.      979
Quinary      46
Quinctilis      19
Quinta essentia      398
Quintic equations      300
Quipu      182
Quotient/quotients      120
Quotient/quotients, approximate values      163
Quotient/quotients, boundary values      166
Quotient/quotients, complex numbers      130 790
Quotient/quotients, derivative      691
Quotient/quotients, indeterminate      784
RAD      410
Radian      410
Radical      138
Radical, simplified form      139
Radicand      138
Radioactive decay      1001
Radiocarbon dating      1002
Radius/radii, circle      391
Radius/radii, circumscribed circles      440
Radius/radii, coordinate system      472
Radius/radii, inscribed circles      440
Radius/radii, radius vector, complex number      788
Radius/radii, sphere      403
Radius/radii, vector      576
Rahn, J.H.      105 135
Random numbers      967
Random variable      971
Range/ranges, functions      339 342 505
Range/ranges, measure of dispersion      976
Range/ranges, trigonometric functions      505
Rank, matrix      664
Ratio, common, series      264
Ratio, golden      418
Ratio, symbols      110
Ratio, test, d’Alambert’s      277
Rational functions      348
Rational numbers      70 72
Rationalizing, denominator      139
Ray/rays      387
Real axis, number plane      788
Real numbers      70
Real zeros, methods of approximation      931
RECORDE, R., abacus      170
RECORDE, R., addition      116
RECORDE, R., equality sign      107
RECORDE, R., multiplication      118
RECORDE, R., plus and minus notations      103
rectangle      395
Rectangle, area      441
Rectangle, golden      419
Rectangular coordinate system      549
Rectilinear motion      896
Recursion formulas, integration      730
Reduced equation      1017
Reductio ad absurdum, proof by      159
Reduction formulas, integration      730
Reentrant angle      392
Reflection, conics, light rays      408
Reflector, ellipsoid      431
Reflector, paraboloid      432
Reflex angle      388
Reflexive law      132
REGIOMONTANUS, J.      103 464
Regula de Tri      111
Regula Falsi      297
Regular decagon, Euclidean construction      416
Regular heptadecagon, Euclidean construction      417
Regular pentadecagon, Euclidean construction      416
Regular pentagon, Euclidean construction      415
Regular polygon/polygons      392
Regular polygons, Euclidean construction      415
Regular polyhedra, theorems      448 450
Regular polyhedron/polyhedra, definitions      397
Regular pyramid      400
REISCH, G.      115 116 218 870 890 922 962
Relative error      161
Relative extrema      799
Relative maximum      341
Relative minimum      341
Relative minimum, derivative      798
Relativity, general theory of      904
Relativity, Special Theory of      904
Reliability, calculations      161
Reliability, digits      161
Reliable digits      162
Remainder, Taylor series      770
Remainder, theorem      303
RENARD, Ch.      929
Replacement, samples with      199
Residue classes      123
Residue classes, complex numbers      137
Resistance      1011
Resisting medium, fall through      1007
Restricted mean-value theorem      717
Restrictions, functions      822
Resultant, vectors      603 605
Results, approximate      161
REUTERSVAERD, O.      374
RHAETICUS, G.J.      464
Rhaeto-Romance number names      21
Rhetorical phase      101
Rhetorical style      298
Rhind papyrus      98 297
RHIND, A.H.      98
Rhodonea      856
Rhombic dodecahedron      399
Rhomboid      394
Rhomboid, area      441
Rhombus/rhombi      394
Rhombus/rhombi, area      441
Rhumb line      596
Richmond, H.W.      417
Riemann geometry      383
Riemann hypothesis      778
Riemann integral      748
Riemann sum      747
Riemann zeta function      778
RIEMANN, G.F.B., definite integral      747 748
RIEMANN, G.F.B., history of geometry      369
RIEMANN, G.F.B., non-Euclidean geometry      383
RIEMANN, G.F.B., zeta function      778
RIENGEL, G.      204
RIESE, A.      113
Right angle      388
Right cone      402
Right cylinder      401
Right prism      400
right triangle      393
Right-hand continuity      358
Right-handed coordinate systems      607
Ring      71
Robert of Chester      49 463
Rod numerals, Chinese      51
RODLER, H.      372
Roget, P.M.      177
Rolle, M.      716
Rolle’s Theorem      716
Roman numerals      6
Roman numeration      39
Roman Republican calendar      18
Romance      20
Romance languages      20
Romanian number names      20
Romansch      21
Root/roots      135
Root/roots, calculation rules      138
Root/roots, complex numbers      793
Root/roots, determining, power series expansion      776
Root/roots, equation/equations      302 313
Root/roots, extraction      141
Root/roots, history      135
Root/roots, index      138
Root/roots, root/coefficient relationships, equations      305
Rotation, orthogonal coordinates      573
Rounding      164
Rounding, errors      165
Rounding, scientific      165
Rounding, shopkeepers’      165
Row index, determinant      646
Row index, matrix      640
Row operations, elementary      661
Row/rows, matrix      640
Row/rows, target      663
Row/rows, vector      641
Rudolff, C.      135
Ruffini, P.      300
Rule/rules      see also "Law" "Formula" "Theorem"
Rule/rules of three      111
Rule/rules, chain, derivatives, composite functions      691
Rule/rules, Cramer’s      668
Rule/rules, general power      692
Rule/rules, Guldin’s first      866
Rule/rules, Guldin’s second      884
Rule/rules, L’Hospital’s      782
Rule/rules, power, general      692
Rule/rules, Regula de Tri      111
Rule/rules, rounding      164
Rule/rules, Sarrus’s      647
Rule/rules, Simpson’s      955 957
Rule/rules, trapezoidal      949
Russell, B.      218 235
Russell’s paradox      235
Rutherford, E.      964
Saccheri, G.      369
Saddle point      816
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